When setting up a partial fraction decomposition, if the 4. In what situation should long division be used before denominator of a fraction is a quadratic polynomial attempting to decompose a rational expression into irreducible over the integers, then the numerator should be (constant/linear). That is, should the numerator be set up as A or Ax + B?

Valentina Holland

Valentina Holland

Answered question

2022-09-25

When setting up a partial fraction decomposition, if the 4. In what situation should long division be used before denominator of a fraction is a quadratic polynomial attempting to decompose a rational expression into irreducible over the integers, then the numerator should be (constant/linear). That is, should the numerator be set up as A or Ax + B?

Answer & Explanation

Elias Keller

Elias Keller

Beginner2022-09-26Added 11 answers

When setting up a partial fraction decomposition, if the denominator of a fraction is a quadratic polynomial irreducible over the integers, then the numerator should be linear. That is, the numerator should be set up as Ax+B.
Result:
Linear; Ax+B

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